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Finding the Fourth Proportional to 1,384.30, 2,074.65 and 999.10

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Solution

The fourth proportional to 1,384.30, 2,074.65 and 999.10 is: 1,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.30 : 2,074.65 = 999.10 : x
  2. Step 2: Convert to fraction form
    1,384.30/2,074.65 = 999.10/x
  3. Step 3: Cross multiply
    1,384.30x = 2,074.65 × 999.10
  4. Step 4: Simplify right side
    1,384.30x = 2,072,782.82
  5. Step 5: Solve for x
    x = 2,072,782.82/1,384.30
  6. Step 6: Final answer
    x = 1,497.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.